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Finding the Fourth Proportional to 2,080.29, 3,120.41 and 620.43

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Solution

The fourth proportional to 2,080.29, 3,120.41 and 620.43 is: 930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.29 : 3,120.41 = 620.43 : x
  2. Step 2: Convert to fraction form
    2,080.29/3,120.41 = 620.43/x
  3. Step 3: Cross multiply
    2,080.29x = 3,120.41 × 620.43
  4. Step 4: Simplify right side
    2,080.29x = 1,935,992.87
  5. Step 5: Solve for x
    x = 1,935,992.87/2,080.29
  6. Step 6: Final answer
    x = 930.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.